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Probabilidade e Combinatória

Título |
Last-Passage Percolation with constraints, and some applications |

Expositor |
Quentin Berger
Université Paris Sorbonne |

Data |
Quarta-feira, 8 de maio de 2019, 13:30 |

Local |
Sala 224 |

Resumo |

Hammersley’s Last-Passage Percolation (LPP) can be described as follows: let *m *points be taken uniformly and independently in the square $[0,1]^2$, then what is the maximal number of points that can be visited by an up-right path? In this talk, I will introduce a generalization of this problem, where the up-right condition is replaced by a global condition on the path. There are only very few results for this LPP with constraint, but they already have nice applications, in particular in the context of directed polymers in random environment.

(joint work with Niccolò Torri)